Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Mathematische Modellierung und partielle Differentialgleichungen

 

Frau Christine Herter
Universität Hamburg

 
spricht am
 
Dienstag, 25. Juli 2023
 
um
 
13:30 Uhr
 
im
 
Raum 1309 (I2)
 
über das Thema:
 

»Eigenvalue optimization with respect to shape-variation in electromagnetic cavities«

Abstract:
Particle accelerator cavities transfer energy to a charged particle beam by applying an electric field. The final performance of accurate simulation results is sensitive to small deformation changes. The field distribution and its frequency in cavities are governed by Maxwell’s time-harmonic eigenvalue problem. In this talk we consider the free-form optimization of particle accelerators in sense of eigenvalue optimization with respect to small shape-variations. We control these shape-variations by formulating an optimal control problem which is based on a method of mappings. As constraint we use a mixed weak formulation by Kikuchi (1987) and discretize the function spaces with a mixed finite element method by means of Nédélec and Lagrange elements. To solve the constraining Maxwell‘s eigenvalue optimization problem, we calculate derivatives based on a method of adjoint calculus and introduce a damped inverse BFGS method.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Malte Peter



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